4 papers
Phase field model for phagocytosis dynamics
Mohammad Abu Hamed, Alexander A. Nepomnyashchy
The basic process of the innate immune system when phagocyte (white blood cell) engulf or swallow a target particle (bacterium or dead cell), is called phagocytosis. We apply the p…
A simple model of Keratocyte membrane dynamics
Mohammad Abu Hamed, Alexander A. Nepomnyashchy
We perform an analytical investigation of the cell interface dynamics in the framework of a minimal phase field model of cell motility suggested in [1], which consists of two coupl…
Longwave nonlinear theory for chemically active droplet division instability
Mohammad Abu Hamed, Alexander A. Nepomnyashchy
It has been suggested recently that growth and division of a protocell could be modeled by a chemically active droplet with simple chemical reactions driven by an external fuel sup…
Inertial Manifolds for Certain Sub-Grid Scale -Models of Turbulence
Mohammad Abu Hamed, Yanqiu Guo, Edriss S. Titi
In this note we prove the existence of an inertial manifold, i.e., a global invariant, exponentially attracting, finite-dimensional smooth manifold, for two different sub-grid scal…